Numerical Study of Staggered Scheme for Viscous Saint-Venant Equations
نویسندگان
چکیده
This paper describes a numerical scheme for approximate the viscous Saint-Venant equations. This scheme is called staggered grid scheme which is a robust, simple and strightforward scheme for viscous SaintVenant equations. Some numerical simulations have been elaborated to validate the accuracy of the scheme, such as the calculation of the convergence rate L1-norm error of the scheme, the comparison of viscous and classical Saint-Venant equations, comparison of staggered scheme with kinetic scheme and direct Navier-Stokes approach in dam-break problem and simulation of dry-wet problem. The results show good accuracy and in a good agreement with another scheme in another paper. Mathematics Subject Classification: 35C20, 76B07, 76B25, 76M20
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